CLAT Sample Paper CLAT Sample Paper-3

  • question_answer
    If the sum and the product of 1st 3 terms of an AP series is 42 and 2240 respectively, what are the terms of the series?

    A)  8, 12, 16        

    B)  8, 14, 20

    C)  10, 16, 22        

    D)  None of these

    Correct Answer: B

    Solution :

    \[(a-d)+a+(a+d)=42\Rightarrow a=14\] \[\Rightarrow \]\[(a-d)\times a\times (a+d)=(14-d)\times 14\times (14+d)=2240\] \[\Rightarrow \] \[({{14}^{2}}-{{d}^{2}})=160\] \[\Rightarrow \] \[{{d}^{2}}=196-160=36\] \[\therefore \] \[d=\pm \,6\]


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